Finding the Third Proportional to 196,458 and 418,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,458 : 418,675.50 = 418,675.50 : x
2. Step 2: Convert to fraction form
   196,458/418,675.50 = 418,675.50/x
3. Step 3: Cross multiply
   196,458x = 418,675.50 × 418,675.50
4. Step 4: Simplify right side
   196,458x = 175,289,174,300.25
5. Step 5: Solve for x
   x = 175,289,174,300.25/196,458
6. Step 6: Final answer
   x = 892,247.58